2482140672000 has 1040 divisors, whose sum is σ = 10096867988064. Its totient is φ = 601620480000.

The previous prime is 2482140671977. The next prime is 2482140672013. The reversal of 2482140672000 is 2760412842.

2482140672000 is a `hidden beast` number, since 2 + 48 + 2 + 1 + 406 + 7 + 200 + 0 = 666.

It is a super-3 number, since 3×2482140672000³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 456189280 + ... + 456194720.

Almost surely, 2^{2482140672000} is an apocalyptic number.

2482140672000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2482140672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5048433994032).

2482140672000 is an abundant number, since it is smaller than the sum of its proper divisors (7614727316064).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2482140672000 is an equidigital number, since it uses as much as digits as its factorization.

2482140672000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5503 (or 5462 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 2482140672000 in words is "two trillion, four hundred eighty-two billion, one hundred forty million, six hundred seventy-two thousand".